QQuestionMathematics
QuestionMathematics
Convert 29.7 cm to inches. Show your dimensional analysis setup.
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Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX and formatting guidelines:
Step 2:: Identify the Conversion Factor
1 \mathrm{~inch} = 2.54 \mathrm{~cm}
The standard conversion between centimeters and inches is:
Step 3:: Set Up Dimensional Analysis
29.7 \mathrm{~cm} \times \frac{1 \mathrm{~inch}}{2.54 \mathrm{~cm}}
We'll set up the conversion as a fraction:
Step 4:: Calculate the Conversion
29.7 \div 2.54 = 11.7 \mathrm{~inches}
Final Answer
Key Points: - The conversion factor is 1 \mathrm{~inch} = 2.54 \mathrm{~cm} - Dimensional analysis ensures correct unit conversion - Result is rounded to one decimal place
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